CambridgeMaths stage 6. Year 11, Mathematics standard

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Author(s): Gregory K. Powers
Publisher: Cambridge University Press
Year: 2018

Language: English
Pages: 487
City: Port Melbourne, Victoria
Tags: HSC

About the author
Introduction and overview
Acknowledgements
1 Preliminary preparation
1A Simplifying algebraic expressions
1B Index laws
1C Expanding algebraic expressions
1D Pythagoras’ theorem
1E Perimeter
1F Area
1G Simple interest
1H Compound interest
1I Frequency tables
1J Mean, median and mode
Scale factors in similar figures Appendix
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
2 Earning and managing money
2A Salary and wages
2B Annual leave loading and bonuses
2C Overtime and special allowances
2D Commission
2E Piecework, royalties and income from government
2F Allowable tax deductions
2G Taxable income
2H Gross pay, net pay and deductions
2I Calculating tax
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
3 Formulae and equations
3A Substitution
3B Distance, speed and time
3C Linear equations
3D Solving equations after substitution
3E Changing the subject of the formula
3F Blood alcohol content
3G Medication
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
Measurement and energy
4A Units of measurement
4B Measurement errors
4C Standard form and significant figures
4D Food and nutrition
4E Energy consumption
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response question
5 Relative frequency and probability
5A Language of probability
5B Definition of probability
5C Tables and tree diagrams
5D Range of probabilities
5E Complementary events
5F Relative frequency
5G Expected frequency
5H Blood types
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response question
6 Perimeter, area and volume
6A Area of circles and sectors
6B Area of composite shapes
6C Trapezoidal rule
6D Surface area of right prisms
6E Surface area of cylinders and spheres
6F Surface area of pyramids and cones
6G Volume of right prisms
6H Volume of cylinders and spheres
6I Volume of pyramids and cones
6J Surface area and volume of composite solids
6K Capacity
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
Practice Paper 1
7 Classifying and representing data
7A Data collection
7B Classification of data
7C Dot plots and stem-and-leaf plots
7D Grouped frequency tables
7E Cumulative frequency
7F Frequency and cumulative frequency graphs
7G Pareto charts
7H Motor vehicle statistics
7I Water usage
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response question
8 Linear relationships
8A Graphing linear functions
8B Gradient and intercept
8C Gradient–intercept formula
8D Linear models
8E Direct variation
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
9 Interest and depreciation
9A Simple interest
9B Simple interest graphs
9C Percentage increase or decrease
9D Calculating GST
9E Straight-line depreciation
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
10 Exploring and describing data
10A Measures of central tendency
10B Measures of spread
10C Outliers
10D Describing distributions
10E Comparing distributions
10F Parallel box-and-whisker plots
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response question
11 Working with time
11A Units of time
11B Timetables
11C Latitude and longitude
11D Time zones
11E Time difference and local time
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response questions
12 Budgeting and household expenses
12A Household bills
12B Purchasing a car
12C Car insurance
12D Stamp duty
12E Running and maintenance costs
12F Personal budget
Chapter summary
Multiple-choice questions
Short-answer questions
Extended-response question
Practice Paper 2
Formulae and data sheet
Glossary
Appendix: Scale factors in similar figures
Answers
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Practice Paper 1
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Practice Paper 2